 |
Analysis of Data from Designed Experiments |
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|
Response Surface Design |
Example:
An experiment was conducted at Division of Agronomy, Indian
Agricultural Research Institute, New Delhi to obtain the
optimum combination of Nitrogen (4 levels: 0, 50, 100, 150
kg/ha) and Sulphur (4 levels: 0, 20, 40, 60 kg/ha) for
maximizing the yield of paddy crop. The plot size used was 4
´ 2.2 m2.The experiment was conducted using a RCB design in 3
replications. The analysis of variance of the data revealed
that replications are not significantly different, i.e. the
replication mean square was small in comparison to error
mean square. The main objective of the experiment was to
obtain the optimum combination of nitrogen and sulphur that
maximizes the yield. The treatment combinations tried and
average yield of paddy in kg/ha are:
|
Nitrogen
|
Sulphur
|
Yield
|
|
Nitrogen
|
Sulphur
|
Yield
|
|
0 |
0 |
4121.21 |
100 |
0 |
6761.36 |
|
|
0 |
20 |
4678.03 |
100 |
20 |
6916.67 |
|
|
0 |
40 |
4742.42 |
100 |
40 |
6852.27 |
|
|
0 |
60 |
4727.27 |
100 |
60 |
6810.61 |
|
|
50 |
0 |
6083.33 |
150 |
0 |
6174.24 |
|
|
50 |
20 |
6041.67 |
150 |
20 |
7022.73 |
|
|
50 |
40 |
6223.49 |
150 |
40 |
7003.79 |
|
|
50 |
60 |
6715.91 |
150 |
60 |
6943.18 |
1.
Fit a second order response surface using the above data.
2.
Obtain the co-ordinates of the stationary point.
3.
Also find the nature of the stationary point.
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For
exposure on SAS, SPSS, MINITAB, SYSTAT and
MS-EXCEL
for analysis of data from designed experiments:
Please see Module I of Electronic Book II: Advances in Data Analytical Techniques
available at Design Resources Server (www.iasri.res.in/design)